I think the problem both has to do with incentives (since government bureaucrats do not 'own' the climate; it's not really their problem) and also with capabilities (they generally do not have the scientific knowledge/qualifications or the critical thinking skills required to be able to effectively make such decisions). Climate change is a very complex topic, it's probable that nobody in the world fully understands all the dynamics which drive it because every single thing (living and non-living) which exists on this planet is a factor contributing either towards or against global warming and everything is interconnected with complex feedback loops... So it's difficult to see how politicians who do not have any scientific background would be able to know how to allocate funding to fight climate change.
There are also many scientists who reject the notion of man-made climate change altogether; in this case, the whole global warming narrative could be seen as nothing but a giant financial scheme to launder freshly printed money from governments to large corporate entities under the ESG label.